摘要: In this paper,we discuss on the convergence and approximation of an α times integrated semigroups. The Trotter kato theorems for an α times integrated semigroups are obtained. 
                                                        
                              
                             
                            
                            																								
								
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                                        															 郎开禄, 杨光俊 . α-次积分半群的Trotter-kato定理[J]. 数学季刊, 1999, 14(3): 11-16.	
																																									     												                                                                                                        	                                                                                                                      Lang Kai-lu, Yang Guang-jun. Trotter-kato Theorems for an α-times Integrated Semigroups[J]. Chinese Quarterly Journal of Mathematics, 1999, 14(3): 11-16.